Answer
$m=-1$ or $m=-2$
Work Step by Step
$m^2+3m=-2$
$m^2+3m+\frac{9}{4}=\frac{1}{4}$
$(m+\frac{3}{2})^2=\frac{1}{4}$
$m+\frac{3}{2}= \pm \frac{1}{2}$
$m+\frac{3}{2}= \frac{1}{2}$ or $m+\frac{3}{2}= -\frac{1}{2}$
$m=-1$ or $m=-2$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 588: 56
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